A note on the wellposedness of scalar brane world cosmological perturbations

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, one figure, v2 minor changes

Scientific paper

10.1103/PhysRevD.71.023520

We discuss scalar brane world cosmological perturbations for a 3-brane world in a maximally symmetric 5D bulk. We show that Mukoyama's master equations leads, for adiabatic perturbations of a perfect fluid on the brane and for scalar field matter on the brane, to a well posed problem despite the "non local" aspect of the boundary condition on the brane. We discuss in relation to the wellposedness the way to specify initial data in the bulk.

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